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Finding the Fourth Proportional to 9,098.75, 13,622.79 and 4,646.84

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Solution

The fourth proportional to 9,098.75, 13,622.79 and 4,646.84 is: 6,957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.75 : 13,622.79 = 4,646.84 : x
  2. Step 2: Convert to fraction form
    9,098.75/13,622.79 = 4,646.84/x
  3. Step 3: Cross multiply
    9,098.75x = 13,622.79 × 4,646.84
  4. Step 4: Simplify right side
    9,098.75x = 63,302,925.48
  5. Step 5: Solve for x
    x = 63,302,925.48/9,098.75
  6. Step 6: Final answer
    x = 6,957.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.